United have been strongly linked with a move for the Croatia international, with Chelsea also reportedly considering a bid, but Ausilio said Inter have not yet received any offers from the Europa League winners.
"[United] haven't made us an official offer for Perisic but their interest is there," Ausilio told Premium Sport on Sunday. "We want to improve Inter and this is why we do not have any sellable or un-sellable players as of now.
"We know that we already have many important players within our roster like Perisic and before we decide to sell him, we have to think about what's best for Inter.
"For me we have an as good squad or maybe even a better squad than most of the teams who finished ahead of us. We don't need all that much, we will certainly make some moves but we will first have to see what our new coach will want."
The club are yet to appoint a new coach after the sacking of Stefano Pioli, with Roma's Luciano Spalletti reportedly a front-runner, but Ausilio said no decision has been made.
"Inter will have a new coach - this is certain," the director added. "Contacts will restart tomorrow as we know what we have to do."